[tex]\begin{gathered} \text{ Given} \\ f(x)=\sqrt[3]{x}\Longrightarrow h(x)=4\sqrt[3]{x+7} \end{gathered}[/tex]
the coefficient 4 of h(x) means that it has a vertical stretch with a factor of 4
the "+7" inside the radical also has the effect of horizontal shifting the function 7 units to the left.
In conclusion, the effects on the graph is a vertical stretch with a factor of 4, and a horizontal shift of 7 units to the left.
